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Finding the Fourth Proportional to 15,543.01, 23,309.65 and 6,769.09

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Solution

The fourth proportional to 15,543.01, 23,309.65 and 6,769.09 is: 10,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,543.01 : 23,309.65 = 6,769.09 : x
  2. Step 2: Convert to fraction form
    15,543.01/23,309.65 = 6,769.09/x
  3. Step 3: Cross multiply
    15,543.01x = 23,309.65 × 6,769.09
  4. Step 4: Simplify right side
    15,543.01x = 157,785,118.72
  5. Step 5: Solve for x
    x = 157,785,118.72/15,543.01
  6. Step 6: Final answer
    x = 10,151.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.